Mr. Martin's math test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2
points
Let x be the number of questions worth 5 points and let y
be the number of questions worth 2 points.
x+ y = 29, 5x + 2y = 100
How many problems of each point value are on the
test?
10 problems worth 5 points and 25 problems worth
2 points
14 problems worth 5 points and 15 problems worth
2 points
16 problems worth 5 points and 13 problems worth
2 points
15 problems worth 5 points and 13 problems worth
2 points
Intro
Done

help

fjfjfhdhdhdhjjdjdjdjdjjd thats the answers

step-by-step explanation:

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.